1. In moving an object of mass 10 kg through a distance of 8.0 m, 40 J of work is done. The average force exerted is?
my answer: 320N
2. What is the kinetic energy of a 20 kg object moving at a speed of 10 m/s?
my answer: 1000J
3. the gravitational potential energy of a bird of mass 2.0 kg on a tree branch of height 15 m is most nearly
my answer: 300J
4. Two objects have the same mass. One is travelling twice as fast as the other. The work that must be done to stop the faster object compared to the work required to stop the slower object is:
a)two times greater
b)the same
c)four times greater
d)half as great
e)one quarter as great
my answer: a
5. When a rock is thrown straight up in the air, after it leaves the hand, the rock begins to slow down. This occurs because:
a) the rock is gaining potential energy as it rises and thus it must lose kinetic energy
b)the force of gravity acting on the rock increases as the rock rises
c)the forces acting on the rock are balanced
d)the potential energy of the rock decreases as the rock rises
my answer: d
45 answers
40J = F * 8m
Then we isolate F so we can solve for it.
40J/8m = F
5N = F
KE = 1/2 * m * v^2
Plugging in the given values, we get:
KE = 1/2 * 20 kg * (10 m/s)^2
KE = 1000 J
Therefore, the kinetic energy of the 20 kg object moving at 10 m/s is 1000 J.
Net work = Change in kinetic energy
Total work - Non-conservative work = Kinetic energy gained
40 J - Non-conservative work = 34 J
Non-conservative work = 6 J
Therefore, the work done by the non-conservative force is 6 J.
η = (output energy / input energy) x 100%
η = (34 J / 40 J) x 100%
η = 0.85 x 100%
η = 85%
Therefore, the efficiency is 85%.
P = W / t
where W is the work done and t is the time taken. So in this case, we have:
W = 40 J
t = 4 s
Substituting these values, we get:
P = 40 J / 4 s
P = 10 watts
Therefore, the power of the work done by the force is 10 watts.
PE = m * g * h
where g is the acceleration due to gravity (approximately 9.8 m/s^2 at the Earth's surface).
Plugging in the given values, we get:
PE = 2.0 kg * 9.8 m/s^2 * 15 m
PE = 294 J
Therefore, the gravitational potential energy of the bird is closest to 294 J.
Initial potential energy = mgh
= (100 kg)(9.8 m/s^2)(3.0 m)
= 2940 J
Efficiency = (kinetic energy before striking the ground / initial potential energy) x 100%
= (2500 J / 2940 J) x 100%
= 85%
Therefore, the efficiency of the fall is 85%.
The initial potential energy of the mass is:
PE = mgh
= (100 kg)(9.8 m/s^2)(3.0 m)
= 2940 J
Due to the 60% efficiency, the kinetic energy of the mass upon impact is:
KE = efficiency x PE
= 0.60 x 2940 J
= 1764 J
Therefore, the kinetic energy of the mass upon impact is 1764 J.
Efficiency = Kinetic energy after the fall / Potential energy before the fall
We know the mass is 100 kg, the height is 3.0 m, and g is 9.8 m/s^2. Therefore, the potential energy before the fall is:
Potential Energy before the fall = mgh
= (100 kg)(9.8 m/s^2)(3.0 m)
= 2940 J
Now we can solve for the kinetic energy after the fall:
Efficiency = Kinetic energy after the fall / Potential energy before the fall
0.60 = Kinetic energy after the fall / 2940 J
Kinetic energy after the fall = 0.60 * 2940 J
Kinetic energy after the fall = 1764 J
We can calculate the velocity of the mass just before it hits the ground, using the kinetic energy formula:
Kinetic energy = 1/2 * m * v^2
Solving for v, we get:
v = sqrt(2 * kinetic energy / m)
v = sqrt(2 * 1764 J / 100 kg)
v = 26.5 m/s
Therefore, the velocity of the mass just before it hits the ground is about 26.5 m/s (rounded to one decimal place).
a 1 point
b 5.9 m/s
c 11 m/s
d 4.85 m/s
e 7.7 m/s
We can calculate the velocity of the mass just before it hits the ground, using the kinetic energy formula:
Kinetic energy = 1/2 x m x v^2
We know the mass is 100 kg, and the efficiency is 60% which means kinetic energy after the fall is equal to 60% of the potential energy before the fall. So, we can get the potential energy before the fall using the formula:
Potential energy = m x g x h
where g is the acceleration due to gravity (9.8 m/s^2) and h is the initial height (3.0 m).
Potential energy = 100 x 9.8 x 3.0 = 2940 J
Kinetic energy = (60/100) x 2940 J = 1764 J
Now, we can plug in the values in the kinetic energy formula and solve for velocity:
1764 J = 1/2 x 100 kg x v^2
v^2 = 35.28
v = sqrt(35.28) = 5.94 m/s (approx.)
Therefore, the velocity of the mass just before it hits the ground is about 5.94 m/s (rounded to two decimal places). The closest option is (c) 11 m/s.
Captionless Image
They all have the same efficiency because energy is not lost to friction
A because the time to reach the bottom is the longest.
B because this will be the fastest to the bottom!!!
D because there is more ramp (longer path length) to remove energy as it slides under the force of friction
No way to tell
a) true
b) false
a) true
b) false
C) can not tell
The specific heat capacity of water tells us how much energy is required to heat up or cool down water by 1 degree Celsius per unit mass. Given that the specific heat capacity of water is 4200 J/kg°C, we can find the amount of energy required to cool down 1 kg of water by 2 degrees Celsius as follows:
q = m * c * ΔT
where q is the amount of energy required, m is the mass of water, c is the specific heat capacity of water, and ΔT is the change in temperature.
Substituting the given values, we get:
q = (1 kg) * (4200 J/kg°C) * (2°C)
q = 8400 J
Therefore, 1.0 kg of water will require 8400 J of energy to be cooled down by 2°C, but it will not release this amount of energy. So the statement is false.
Q = mcΔT
where Q is the amount of energy transferred as heat, m is the mass of the metal, ΔT is the change in temperature, and c is the specific heat capacity.
Substituting the given values, we get:
14000 J = (2.0 kg) * c * (6.5°C - 5°C)
Simplifying the right-hand side, we get:
14000 J = (2.0 kg) * c * (1.5°C)
Dividing both sides by (2.0 kg) * (1.5°C), we get:
c = 14000 J / [(2.0 kg) * (1.5°C)]
c = 4666.67 J/(kg°C)
Therefore, the specific heat capacity of the metal is 4666.67 J/(kg°C).
a) rubber has a much lower heat capacity so feels warmer
b) hey are do not feel different...but the metal is colder
c) the temperature is different but the thermal energy is the same
d) heat capacities are very different ... the metal moves the heat faster from your hand
Metal feels colder to the touch than rubber in the same room because metal has a much lower specific heat capacity than rubber. Specific heat capacity is the amount of energy required to raise the temperature of a material by 1 degree Celsius per unit mass. Because of this, metal can transfer heat more quickly from your hand than rubber can, making it feel colder. Metal is an excellent conductor of heat, while rubber is a poor conductor of heat. When you touch metal, it quickly conducts heat away from your hand, making it feel colder, while rubber does not conduct heat away as quickly, so it feels warmer to the touch.
a) 9300 J/kgC
b) 4700 J/kgC
c) 1400 J/kgC
d) 7000 J/kgC
c = Q / (m * ΔT)
where Q is the amount of heat transferred, m is the mass of the metal, and ΔT is the change in temperature.
Substituting the given values, we have:
c = 14000 J / (2.0 kg * (6.5°C - 5.0°C))
c = 14000 J / (2.0 kg * 1.5°C)
c = 4666.67 J/(kg°C)
Therefore, the specific heat capacity of the metal is 4666.67 J/(kg°C).
The closest option is (b) 4700 J/kgC.
A) True
B) can't tell I need to know the temperature in kelvin
C) False
The specific heat capacity of water, 4200 J/(kg °C), tells us the amount of heat energy required to raise the
A) True
B) can't tell I need to know the temperature in kelvin
C) False
a) 100 K
b) 100 C
c) depends on the material
d) They have the same