g If the car has a mass of 124 g and it reaches a maximum vertical height of 1.40 m above the floor, what was the speed of the car while it was moving along the floor

The car was moving at a speed of approximately 5.240 meters per second along the floor.

Explanation:

Let suppose that the car represents a conservative system, that is, that all non-conservative forces (i.e. friction, air viscosity) can be neglected. The initial speed of the vehicle can be determined by means of the Principle of Energy Conservation, which states that:

(1)

Where:

- Initial translational kinetic energy, measured in joules.

- Final gravitational potential energy, measured in joules.

By definitions of translational kinetic energy and gravitational potential energy, we expand the equation above:

(2)

Where:

- Mass, measured in kilograms.

- Gravitational acceleration, measured in meters per square second.

- Initial speed of the car, measured in meters per second.

- Final vertical height of the car, measured in meters.

If we know that , and , then the initial speed of the car is:

The car was moving at a speed of approximately 5.240 meters per second along the floor.

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards