Answer:
2 m
Explanation:
Work = force × distance
500 J = 250 N × d
d = 2 m
She moved the couch 2 meters.
Answer:

Explanation:
Kinetic energy is energy due to motion. The formula is half the product of mass and velocity squared.

The mass of the roller coaster car is 2000 kilograms and the car is moving 10 meters per second.
Substitute these values into the formula.

Solve the exponent.
- (10 m/s)²= 10 m/s * 10 m/s= 100 m²/s²

Multiply the first two numbers together.

Multiply again.

- 1 kilogram square meter per square second is equal to 1 Joule.
- Our answer of 100,000 kg*m²/s² is equal to 100,000 Joules.

The roller coaster car has <u>100,000 Joules</u> of kinetic energy.
Answer:
The mass of the another block is 60 kg.
Explanation:
Given that,
Mass of block M= 100 kg
Height = 1.0 m
Time = 0.90 s
Let the mass of the other block is m.
We need to calculate the acceleration of each block
Using equation of motion

Put the value into the formula



We need to calculate the mass of the other block
Using newton's second law
The net force of the block M

....(I)
The net force of the block m

Put the value of T from equation (I)



Put the value into the formula


Hence, The mass of the another block is 60 kg.
Answer:
3.38 m/s
Explanation:
Mass of child = m₁ = 25
Initial speed of child = u₁ = 5 m/s
Initial speed of cart = u₂ = 0 m/s
Mass of cart = m₂ = 12 kg
Velocity of cart with child on top = v
This is a case of perfectly inelastic collision

Velocity of cart with child on top is 3.38 m/s