Answer:
v_f = -25.9 m/s
Explanation:
- The complete question is as follows:
" Assume that a pitcher throws a baseball so that it travels in a straight line parallel to the ground. The batter then hits the ball so it goes directly back to the pitcher along the same straight line. Define the direction the pitcher originally throws the ball as the +x direction.
Now assume that the pitcher in Part D throws a 0.145-kg baseball parallel to the ground with a speed of 32 m/s in the +x direction. The batter then hits the ball so it goes directly back to the pitcher along the same straight line. What is the ball's velocity just after leaving the bat if the bat applies an impulse of −8.4N⋅s to the baseball?"
Given:
- mass of baseball m = 0.145 kg
- Speed before impact v_i = 32 m/s
- Speed after impact v_f
- Impulse applied by the bat I = - 8.4Ns
Find:
What is the ball's velocity just after leaving the bat
Solution:
- Impulse is the change in linear momentum of the ball according to Newton's second law of motion:
I = m* ( v_f - v_i )
- Taking the + from pitcher to batsman and - from batsman to pitcher.
- Plug in the values:
-8.4 = 0.145* ( v_f - (32) )
v_f = -57.93103 + 32
v_f = -25.9 m/s
Answer:
(a). The velocity is 0.099 m/s.
(b). The position is 19.75 m.
Explanation:
Given that,
The deceleration is

We need to calculate the velocity at t = 25 s
The acceleration is the first derivative of velocity of the particle.



On integrating


....(I)
At t = 0, v = 10 m/s


Put the value of C in equation (I)



The velocity is 0.099 m/s.
(b). We need to calculate the position at t = 25 sec
The velocity is the first derivative of position of the particle.

On integrating


At t = 0, s = 15 m



Put the value in the equation


The position is 19.75 m.
Hence, (a). The velocity is 0.099 m/s.
(b). The position is 19.75 m.
Answer:
is the current through the body of the man.
energy dissipated.
Explanation:
Given:
- time for which the current lasted,

- potential difference between the feet,

- resistance between the feet,

<u>Now, from the Ohm's law we have:</u>


is the current through the body of the man.
<u>Energy dissipated in the body:</u>



Answer:
Part a)
F = 0.051 N
Part b)
Both spheres will follow Newton's III law of action reaction force so both sphere will have same force of equal magnitude.
Explanation:
Part a)
Electrostatic force between two charged spherical balls is given as

here we will have

here the distance between the center of two balls is given as

now we will have


Part b)
Both spheres will follow Newton's III law of action reaction force so both sphere will have same force of equal magnitude.
Answer:
time is 0.5660 s
and time is - 3.62431 s
Explanation:
velocity u = 15 m/s
height s = 10 m
acceleration due to gravity g = –9.8 m/s²
to find out
time
solution
we will apply here distance equation that is
s = ut - 1/2× gt² ...........1
here put all these value and get time t
here s is height and g is -9.8
so
s = ut - 1/2× gt²
10 = 15t - 1/2× (-9.8)t²
10 = 15t + 4.9t²
solve it we get t
t = 0.56630 and -3.62431
so time is 0.5660 s
and time is - 3.62431 s