Answer:
(a) Magnitude of Vector = 207.73 m
(b) Direction = 65.48°
Explanation:
(a)
The formula to find out the magnitude of a resultant vector with the help of its x and y components is given as follows:

<u>Magnitude of Vector = 207.73 m</u>
(b)
For the direction of the vector we have the formula:

<u>Direction = 65.48°</u>
Answer:
a= 8.74 m/s²
Explanation:
Given that
m = 21 kg
θ = 13◦
F= 210 N
g= 9.8 m/s²
The force due to gravity
F₁= m g sinθ
F₁=12 x 9.8 x sin 13◦
F₁=26.45 N
Lets take acceleration is a m/s²
Form Newtons second law
F - F₁ = m a
210 - 26.45 = 21 x a
a= 8.74 m/s²
Answer:
Explanation:
Radius of the ball is 
Initial speed of the ball is 
Initial angular speed of the ball is 
Coefficient of kinetic friction between the ball and the lane
is 
Due to the presence of frictional force, ball moves with
decreasing velocity.
(a)
velocity
in terms of
is

(b)
Ball's linear acceleration is given by

(c)
During sliding, ball's angular acceleration is calculated as

(d)
The time for which the ball slides is calculated from the
equation of motion is

(e)
Distance traveled by the ball is

(for)
The speed of the ball when smooth rolling begins is
