(a) The minimum force F he must exert to get the block moving is 38.9 N.
(b) The acceleration of the block is 0.79 m/s².
<h3>
Minimum force to be applied </h3>
The minimum force F he must exert to get the block moving is calculated as follows;
Fcosθ = μ(s)Fₙ
Fcosθ = μ(s)mg
where;
- μ(s) is coefficient of static friction
- m is mass of the block
- g is acceleration due to gravity
F = [0.1(36)(9.8)] / [(cos(25)]
F = 38.9 N
<h3>Acceleration of the block</h3>
F(net) = 38.9 - (0.03 x 36 x 9.8) = 28.32
a = F(net)/m
a = 28.32/36
a = 0.79 m/s²
Thus, the minimum force F he must exert to get the block moving is 38.9 N.
The acceleration of the block is 0.79 m/s².
Learn more about minimum force here: brainly.com/question/14353320
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a) For the motion of car with uniform velocity we have ,
, where s is the displacement, u is the initial velocity, t is the time taken a is the acceleration.
In this case s = 520 m, t = 223 seconds, a =0 ![m/s^2](https://tex.z-dn.net/?f=m%2Fs%5E2)
Substituting
![520 = u*223\\ \\u = 2.33 m/s](https://tex.z-dn.net/?f=520%20%3D%20u%2A223%5C%5C%20%5C%5Cu%20%3D%202.33%20m%2Fs)
The constant velocity of car a = 2.33 m/s
b) We have ![s = ut+\frac{1}{2} at^2](https://tex.z-dn.net/?f=s%20%3D%20ut%2B%5Cfrac%7B1%7D%7B2%7D%20at%5E2)
s = 520 m, t = 223 seconds, u =0 m/s
Substituting
![520 = 0*223+\frac{1}{2} *a*223^2\\ \\ a = 0.0209 m/s^2](https://tex.z-dn.net/?f=520%20%3D%200%2A223%2B%5Cfrac%7B1%7D%7B2%7D%20%2Aa%2A223%5E2%5C%5C%20%5C%5C%20a%20%3D%200.0209%20m%2Fs%5E2)
Now we have v = u+at, where v is the final velocity
Substituting
v = 0+0.0209*223 = 4.66 m/s
So final velocity of car b = 4.66 m/s
c) Acceleration = 0.0209 ![m/s^2](https://tex.z-dn.net/?f=m%2Fs%5E2)
Answer:
The tension in the rope is 262.88 N
Explanation:
Given:
Weight
N
Length of rope
m
Initial speed of ball ![v = 5.5 \frac{m}{s}](https://tex.z-dn.net/?f=v%20%3D%205.5%20%5Cfrac%7Bm%7D%7Bs%7D)
For finding the tension in the rope,
First find the mass of rod,
(
)
![m = \frac{150}{9.8}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B150%7D%7B9.8%7D)
kg
Tension in the rope is,
![T = mg + \frac{mv^{2} }{r}](https://tex.z-dn.net/?f=T%20%3D%20mg%20%2B%20%5Cfrac%7Bmv%5E%7B2%7D%20%7D%7Br%7D)
![T = 150 + \frac{15.3 \times (5.5)^{2} }{4.1}](https://tex.z-dn.net/?f=T%20%3D%20150%20%2B%20%5Cfrac%7B15.3%20%5Ctimes%20%285.5%29%5E%7B2%7D%20%7D%7B4.1%7D)
N
Therefore, the tension in the rope is 262.88 N
Kinetic Energy is calculated by KE= 1/2mv2