Subjective Type

Find the average force needed to accelerate a car weighing $$500\ kg$$ from rest to $$72\ km/h$$ in a distance of $$25\ m$$.

Solution

The acceleration of the car is given as,

$${v^2} = {u^2} + 2as$$

$${\left( {72 \times \frac{5}{{18}}} \right)^2} = 0 + 2 \times a \times 25$$

$$a = 8\;{\rm{m/s^2}}$$

The force is given as,

$$F = ma$$

$$ = 500 \times 8$$

$$ = 4000\;{\rm{N}}$$

Thus, the average force needed to accelerate the car is $$4000\;{\rm{N}}$$.

SIMILAR QUESTIONS

Kinematics

A particle is moving with speed $$v = b\sqrt{x}$$ along positive x-axis. Calculate the speed of the particle at time $$t = \tau$$ (assume that the particle is at origin at $$t = 0$$)

Kinematics

The minimum acceleration with which a fireman can slide down a rope of breaking strength two-third of his weight is

Kinematics

A particle is kept fixed on a turntable rotating uniformly. As seen from the ground, the particle goes in the circle, its speed is $$20$$cm/s and acceleration is $$20$$ $$cm/s^2$$. The particle is now shifted to a new portion to make the radius half of the original value. The new values of the speed and acceleration will be.

Kinematics

A person travelling at $$43.2{\text{ km/h}}$$ applies the brake giving a deceleration of $$6.0{\text{ m/}}{{\text{s}}^2}$$ to his scooter. How far will it travel before stopping?

Kinematics

The velocity of a particle is zero at $$t = 0$$

Kinematics

A bullet going with speed $$350\ m/s$$ enters a concrete wall and penetrates a distance of $$5.0\ cm$$ before coming to rest. find the deceleration.

Kinematics

A point moves in a straight line under the retardation $$kv^2$$. If the initial velocity is u, the distance covered in t second is

Kinematics

If the relation between distance x and time t is of the form $$t=\alpha x^2+\beta x$$ here $$\alpha$$ and $$\beta$$ being appropriate constants, then the retardation of the particle is?

Kinematics

A car starts from rest requires a velocity v with uniform acceleration $$2 m/s^2$$ then it comes to stop with uniform retardation $$4 m/s^2$$. If the total time for which it remains in motion is $$3$$ sec, the total distance travelled is?

Kinematics

A particle moves $$200$$ cm in the first $$2$$ sec and $$220$$ cm in the next $$4$$ sec with uniform deceleration. The velocity of the particle at the end of seven second is?

Contact Details