A constant retarding force of 50 N is applied to a body of mass 20 kg moving initially with a speed of 15 m s−1How long does the body take to stop?a)1.7.0 sb)6.0 sc)5.0 sd)noneCorrect answer is option 'B'. Can you explain this answer?

Question

A constant retarding force of 50 N is applied to a body of mass 20 kg moving initially with a speed of 15 m s&minus;1How long does the body take to stop?a)1.7.0 sb)6.0 sc)5.0 sd)noneCorrect answer is option 'B'. Can you explain this answer?

Answer

Answer

Answer

To find the acceleration of the body, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.

Given:
- Mass of the body, m = 20 kg
- Retarding force, F = -50 N (negative sign indicates that it opposes the motion)
- Initial velocity, u = 15 m/s

We know that the net force acting on the body is the sum of the retarding force and any other forces acting on it. In this case, there are no other forces mentioned, so the net force is equal to the retarding force.

Using the formula:
F = m * a

where F is the net force, m is the mass, and a is the acceleration, we can rearrange the formula to solve for acceleration:

a = F / m

Substituting the given values, we have:

a = (-50 N) / (20 kg)
a = -2.5 m/s^2

The negative sign indicates that the acceleration is in the opposite direction of the initial velocity.

Similar Class 11 Doubts

A body of mass 0.40 kg moving initially with a constant speed of 10m/s to the north is subject to a constant force of 8.0 N directed towards the south for 30 sec. take the instant the force is applied to be t=0 , the position of the body at that time to be x=0 , predict its position at t=-5 sec?

A force of 20 Newton is applied on a body which is initially at rest. Calculate it's momentum after 1.5 second?

An unloaded and loaded bus are both moving with same kinetic energy. Mass of the lattes is twice as that of former. Brakes are applied to both so as to exert equal retarding force . If x1 and x2 be the distance covered by the two buses before coming to rest then what is relation between x1 and x2

Q.A retarding force is applied to stop a train . The train stop after 80m.if the speed is doubled, then the distance travelled when same retarding force is applied is. (

Top Courses for Class 11View all

Chemistry Class 11

CUET Mock Test: Humanities Subjects 2025

English Class 11

Mathematics (Maths) Class 11

Psychology Practice Tests: CUET Preparation

Top Courses for Class 11

Top Courses for Class 11

Suggested Free Tests

Related Content

Schools

Competitive Examinations

Quick Access Links

Technical Exams