Explanation:
- Newton's first law of motion:
"An object at rest (or in uniform motion) remains at rest (or in uniform motion) unless acted upon an unbalanced force
In this situation, we can apply Newton's first law to the keys of the keyboard that are not hit by the fingers of the man. In fact, as no force act on the keys, they remain at rest.
- Newton's second law of motion:
"The acceleration experienced by an object is proportional to the net force exerted on the object; mathematically:
where F is the net force, m is the mass of the object, and a its acceleration"
In this case, we can apply Newton's second law to the keys of the keyboard that are hit by the man: in fact, as they are hit, they experience a downward force, and therefore they experience a downward acceleration.
"Newton's third law of motion:
"When an object A exerts a force on an object B (action force), then object B exerts an equal and opposite force on object A (reaction force)"
Here We can apply Newton's third law to the pair of objects finger-key: in fact, as the finger apply a force on the key (action force), then the key exerts a force back on the finger (reaction force), equal and opposite.
Answer: 31 m/s due east
Explanation: this question can be solved using the law of conservation of linear momentum.
This law states that in a closed or isolated system, during collision, the vector sum of momentum before collision equals the vector sum of momentum after collision.
Momentum = mass × velocity
From our question, our parameters before collision are given below as
Mass of car = mc = 1400kg
Speed of car =vc = 31 m/s (due east)
Mass of truck = mt = 2400kg
Velocity of truck = vt = 25 m/s ( due east )
After collision
Velocity of car = ?
Velocity of truck = 34 m/s ( due east )
Vector sum of momentum before collision is given as
1400 (31) + 2400 (25) = 43400 + 60000 = 103400 kgm/s
After collision the truck is seen to move faster (v = 34 m/s) which implies that the car also moves due east .
1400 (v) + 2400(25) .... A positive value is between both momenta because they are in the same direction.
After collision, we have that
1400v + 60000
Vector sum of momentum before collision = vector sum of momentum after collision
103400 = 1400v + 60000
103400 - 60000 = 1400v
43400 = 1400v
v = 43400/ 1400
v = 31 m/s due east
Answer:
a) 
b) 
c) 
Explanation:
From the question we are told that
Distance to Betelgeuse 
Mass of Rocket 
Total Time in years traveled 
Total energy used by the United States in the year 2000 
Generally the equation of speed of rocket v mathematically given by
where
Therefore
b)
Generally the equation of the energy E required to attain prior speed mathematically given by
c)Generally the equation of the energy 
required to accelerate the rocket mathematically given by
I'd say B.) Increasing the voltage of the battery.
