A car of mass m accelerates uniformly from rest under a constant force F. After traveling a distance d, what is the kinetic energy of the car?
F × d
To determine the kinetic energy of the car after traveling a distance d, we start by considering the work-energy principle, which states that the work done on an object is equal to the change in its kinetic energy. The formula for work done is:
Work done (W) = Force (F) × Distance (d)
This means that the work done by the force F in moving the car over a distance d equals the car's kinetic energy at that point, since the car starts from rest, and potential energy changes are not considered here.
Kinetic Energy (KE) = F × d
Thus, the kinetic energy of the car after traveling the distance d is given by the formula F × d.
This corresponds to the answer, which is F × d.
Important Questions from Work and Kinetic Energy
To move an object on a horizontal table, one needs to apply:
If ‘A’ stands for ‘−’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘+’, what will come in place of the question mark ‘?’ in the following equation?
23 D 18 C 3 B 5 A 17 = ?
- Two objects A and B of different masses have same momentum, which one will have more kinetic energy, if mass of A is more than the mass of B?
- A body of mass 10 kg is thrown vertically upwards with a velocity of 10 m/s. How much potential energy will be possessed by the body when it reaches the maximum height? (Take $g = 10 \text{ m/s}^2$)
- A car has a mass of 120 kg. How much work must be done to raise its speed from 72 km/h to 108 km/h?
