force? Explain your answer 7. A force of 5 N gives a mass m1, an acceleration of 10 m s-2 and a mass m2, an acceleration of 20 m s-2. What acceleration would it give if both the masses were tied together 8. State conservation of energy principle? Prove that K.E=1/2mv². Also state work-energy theorem. 9. Calculate the work required to be done to stop a car of 1500 kg moving at a velocity of 60 km/h? 10. Find the energy in kW h consumed in 10 hours by four devices of power 500 W each. 11. State Newton's second law of motion? Prove that F=ma also explain how newton's third law explain conservation of linear momentum. 12. A mass of 10 kg is at a point A on a table. It is moved to a point B. If the line joining A and B is horizontal, what is the work done on the object by the gravitational force? Explain 13. Define potential energy? Write its few examples? How inertia and Newton's first law are related to each other? Also explain balance and unbalance force with suitable example? 14. An object has moved through a distance. Can it have zero displacement? If yes, support your answer with an example. (1) 15. The Earth's gravitational force causes an acceleration of 5 m/s² in a 1 kg mass somewhere in space. How much will the acceleration of 3kg mass be at the same place?
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1.
Let's solve the equations for the given scenario.
We have two masses, m1 and m2, with corresponding accelerations of 10 m/s² and 20 m/s², respectively.
We also know that the force acting on both masses is 5 N.
To solve for the masses, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F = m * a).
For m1: 5 N = m1 * 10 m/s²
Simplifying the equation, we have:
m1 = 5 N / 10 m/s² m1 = 0.5 kg
For m2: 5 N = m2 * 20 m/s²
Simplifying the equation,
we have: m2 = 5 N / 20 m/s²
m2 = 0.25 kg
So, the mass of m1 is 0.5 kg and the mass of m2 is 0.25 kg.
2.
If both masses m1 and m2 are tied together, we can consider them as a single system. To find the acceleration of the combined masses, we can use the total force acting on the system.
Since the masses are tied together, the force acting on both masses is the same. We know that the force is 5 N. Using Newton's second law of motion, F = m * a, we can rearrange the equation to solve for acceleration (a).
For the combined system:
5 N = (m1 + m2) * a
Substituting the values of m1 and m2:
5 N = (0.5 kg + 0.25 kg) * a
Simplifying the equation:
5 N = 0.75 kg * a
To solve for acceleration (a):
a = 5 N / 0.75 kg
a ≈ 6.67 m/s²
So, if both masses m1 and m2 were tied together, they would have an acceleration of approximately 6.67 m/s².
3.
The conservation of energy principle states that energy cannot be created or destroyed, only transferred or transformed from one form to another.