The work done by the pushing force is 200 J; option B.
<h3>What is work done in an inclined plane?</h3>
The work done in an inclined plane is given by the formula below:
- Work done = Force * distance
Force, F = mgsinθ + ma
where a = 0
Work done = 80 * 5 * sin 30°
Work done = 200 J
In conclusion, work done is the product of force and distance.
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Answer:
The time taken is 6.7 min
Explanation:
Using the linear momentum conservation theorem, we have:
when she was 60.4m from the shuttle, she has zero speed, so the initial velocity is zero.
That is 0.15m/s in the opposite direction of the camera.
the time taken to get to the shuttle is given by:
First solve the potential energy of the biker. using the fomula:
PE = mgh
where m is the mass of the object
g is the acceleration due to gravity ( 9.81 m/s2)
h is the height
PE = 96 kg ( 1120 m ) ( 9.81 m/s2)
PE = 1054771.2 J
then power = Work / time
P = 1054771.2 J / ( 120 min ) ( 60 s / 1 min)
P = 146.5 W
Answer:
The equivalent resistance of the combination is 3.42 ohms.
Explanation:
We have,
8 ohms resistor is connected in parallel with a 6 ohms resistor. It is required to find the equivalent resistance of this combination.
For a parallel combination, the equivalent resistance is given by :
Plugging the values of R₁ and R₂, we get :
So, the equivalent resistance of the combination is 3.42 ohms.
<span>Total KE = KE (rotational) + KE (translational)
Moment of inertia of sphere is I = (2/5)mr^2
So KE (rotational) = (1/2) x I x w^2 = (1/2) x (2/5)mr^2 x w^2 = (1/5) x m x r^2 x w^2
KE (translational) = (1/2) x m x v^2 = (1/2) x m x (rw)^2 = (1/2) x m x r^2 x w^2
Hence KE = (1/5) x m x r^2 x w^2 + (1/2) x m x r^2 x w^2 = m x r^2 x w^2 ((1/5) + (1/2))
KE = (7/10) m x r^2 x w^2
Calculating the fraction of rotational kinetic energy to total kinetic energy,
= rotational kinetic energy / total kinetic energy
= (1/5) x m x r^2 x w^2 / (7/10) m x r^2 x w^2 = (1/5) / (7/10) = 2 / 7
The answer is 2 / 7</span>
