Advertisements
Advertisements
Question
A body of mass 10 kg is acted upon by two perpendicular forces, 6 N and 8 N. The resultant acceleration of the body is ______.
- 1 m s–2 at an angle of tan−1 `(4/3)` w.r.t 6 N force.
- 0.2 m s–2 at an angle of tan−1 `(4/3)` w.r.t 6 N force.
- 1 m s–2 at an angle of tan−1 `(3/4)` w.r.t 8 N force.
- 0.2 m s–2 at an angle of tan−1 `(3/4)` w.r.t 8 N force.
Advertisements
Solution
a and c
Explanation:
Consider the adjacent diagram
Given, mass = m = 10 kg
F1 = 6 N, F2 = 8 N
Resultant force = F = `sqrt(F_1^2 + F_2^2)`
= `sqrt(36 + 64)`
= 10 N
a = `F/m = 10/10` = 1 m/s2; along R.
Let θ1 be the angle between R and F1.
tan θ1 = `8/6 = 4/3`
θ1 = `tan^-1 (4/3)` w.r.t. F1 = 6 N
Let θ2 be the angle between F and F2.
tan θ2 = `6/8 = 3/4`
θ2 = `tan^-1 (3/4)` w.r.t. F2 = 8 N
APPEARS IN
RELATED QUESTIONS
When a carpet is beaten with a stick, dust comes out of it. Explain.
Give the magnitude and direction of the net force acting on a drop of rain falling down with a constant speed.
The driver of a three-wheeler moving with a speed of 36 km/h sees a child standing in the middle of the road and brings his vehicle to rest in 4.0 s just in time to save the child. What is the average retarding force on the vehicle? The mass of the three-wheeler is 400 kg and the mass of the driver is 65 kg.
If the speed of the stone is increased beyond the maximum permissible value, and the string breaks suddenly, which of the following correctly describes the trajectory of the stone after the string breaks?
Name the physical quantity whose unit is ‘newton’.
Find the acceleration produced by a force of 5 N acting on a mass of 10 kg.
It is sometimes heard that the inertial frame of reference is only an ideal concept and no such inertial frame actually exists. Comment.
A block of mass 10 kg is suspended from two light spring balances, as shown in the following figure.
Neglect the effect of rotation of the earth. Suppose the earth suddenly stops attracting objects placed near its surface. A person standing on the surface of the earth will.
A particle stays at rest as seen in a frame. We can conclude that
(a) the frame is inertial
(b) resultant force on the particle is zero
(c) the frame may be inertial but the resultant force on the particle is zero
(d) the frame may be non-inertial but there is a non-zero resultant force
When a train starts, the head of a standing passenger seems to be pushed backward. Analyse the situation from the ground frame. Does it really go backward? Coming back to the train frame, how do you explain the backward movement of the head on the basis of Newton's laws?
'When a hanging carpet is beaten with a stick, the dust particles start coming out of it'. This phenomenon can be best explained by making use of :
State and explain the law of inertia (or Newton's first law of motion).
Explain the following :
After alighting from a moving bus , one has to run for some distance in the direction of bus in order to avoid falling .
A force of 600 dynes acts on a glass ball of mass 200 g for 12 s. If initially, the ball is at rest, find
- Final velocity
- Distance covered.
Name the scientist who first stated the law of inertia.
A mass of 2 kg is suspended with thread AB (Figure). Thread CD of the same type is attached to the other end of 2 kg mass. Lower thread is pulled gradually, harder and harder in the downward directon so as to apply force on AB. Which of the threads will break and why?
In a legend, the hero-kid kicked a toy pig so that it is projected with a speed greater than that of its cry. If the weight of the toy pig is assumed to be 5 kg and the time of contact 0.01 sec., the force with which the hero-kid kicked him was ______.
(Speed of cry = 330 m/s)
A force F is applied to the initially stationary cart. The variation of force with time is shown in the figure. The speed of the cart at t = 5 sec is ______.
