Answer:
V = 44.4 units.
Explanation:
In order to solve this problem, we must use the Pythagorean theorem. Which is defined by the following expression.

where:
Vx = - 43 units
Vy = 11.1 units
Now replacing:

Answer:
Explanation:
F = kx = 65 N/m(0.94 m) = 61.1 = 61 N
Answer:
The work done on the wagon is 37 joules.
Explanation:
Given that,
The force applied by Charlie to the right, F = 37.2 N
The force applied by Sara to the left, F' = 22.4 N
We need to find the work done on the wagon after it has moved 2.50 meters to the right. The net force acting on the wagon is :



Work done on the wagon is given by the product of net force and displacement. It is given by :


W = 37 Joules
So, the work done on the wagon is 37 joules. Hence, this is the required solution.
Answer: c. Neither, they have the same speed.
In both the cases, there will be work done by the gravitational force. Since, the gravitational force is a conservative force, its work done does not depend on the path as it only depends on the initial and final position of the objects. Since, the initial and final positions are same for both the objects, the work done by gravitational force will be same in both the cases.
Hence, Work done by gravitational force = Change in the kinetic energy
So, the kinetic energy will be same for both the object.
Since, the masses are same: Kinetic energy = 
Hence, the speed will also be same for both the objects.
Correct option: C
Answer:
Increase in total energy will be equal to the increase in the internal energy i.e
Joules
Explanation:
Given
Weight of sledge hammer
kilogram
Speed of sledge hammer
meter per second
Kinetic energy is equal to half the product of mass and velocity square

Substituting the value of mass and velocity, we get -

It is given that one fourth of the energy is converted into internal energy
One fourth of kinetic energy is equal to

Increase in total energy will be equal to the increase in the internal energy i.e
Joules