Answer:
(a) 50 kJ
(b) 14.14 m/s
(c) 0 N
(d) 0 J
Solution:
As per the question:
Mass of car, m = 500 kg
Force, F = 1000 N
Distance traveled, s = 50 m
Now,
(a) The total work done can be given as:
(b) To calculate the speed of the car:
Using work-energy relation, we can say that the work done equals the change in the kinetic energy of the car:
where
v' = final velocity
v = initial velocity = 0
Now,
(c) To calculate the net force on the car when the velocity is constant:
The net force is given as the product of mass and acceleration:
F = ma
<em>Acceleration can be defined as the rate with which the velocity of the car changes and the since the velocity is constant, the car will not have any acceleration, a = 0</em>
Thus the net force is also zero.
(d) The total work done when the car moves with constant velocity:
Answer:
122.5 N
Explanation:
The free body diagram in the bucket at the top of the circle is shown in the attached image.
The force balance hence, is
T + mg = mv²/r
where T = tension in the rope = ?
mg = weight of the bucket system
mv²/r = force keeping the bucket in circular motion.
v = velocity of the bucket = 7.8 m/s
r = radius of the circular path = 1.0 m
T + mg = mv²/r
T + (2.4×9.8) = (2.4×7.8²)/1
T = 146.016 - 23.52 = 122.496 N
Answer:
<u> George Washington</u>
<u>Explanation:</u>
The image of the famous first President of the United States-George Washington (from 1789 to 1797) is found on every $1 bill. George Washington's image began to be found on the $1 bill in 1869.
Answer:
m= 10 kg a = 52 m / s²
Explanation:
For this problem we must use Newton's second law, let's apply it to each axis
X axis
F - fr = ma
The equation for the force of friction is
-fr = miu N
Axis y
N- W = 0
N = mg
Let's replace and calculate laceration
F - miu (mg) = ma
a = F / m - mi g
a = 527.018 / m - 0.17 9.8
We must know the mass of the body suppose m = 10 kg
a = 527.018 / 10 - 1,666
a = 52 m / s²
Answer: 6,400 km
Explanation:
The weight of a person is given by:
where m is the mass of the person and g is the acceleration due to gravity. While the mass does not depend on the height above the surface, the value of g does, following the formula:
where
G is the gravitational constant
M is the Earth's mass
r is the distance of the person from the Earth's center
The problem says that the person weighs 800 N at the Earth's surface, so when r=R (Earth's radius):
(1)
Now we want to find the height h above the surface at which the weight of the man is 200 N:
(2)
If we divide eq.(1) by eq.(2), we get
By solving the equation, we find:
which has two solutions:
--> negative solution, we can ignore it
--> this is our solution
Since the Earth's radius is , the person should be at above Earth's surface.