Acceleration = (change in speed) / (time for the change)
Change in speed = (ending speed) - (starting speed)
Change in speed = (60 km/hr) - (50 km/hr) = 10 km/hr
Time for the change = 12 sec
Acceleration = (10 km/hr) / (12 sec)
Acceleration = 0.8333 km/hr-sec
Convert to a unit that we can understand:
Acceleration = (0.8333 km/hr-sec)x(1000 m/km)x(hr/3600sec)
Acceleration = (833.3 / 3600) (m-hr / hr-sec²)
Acceleration = (833.3 / 3600) (m/s²)
<em>Acceleration = 0.231 m/s² </em> or 0.833 km/hr-sec²
Answer:
The terminal velocity is equal to C.
Explanation:
Making the assumption that k and t are positive, we then have that -kt is negative. The value of e^(-kt) will be equal to 1/(e^(kt))
If t increases, e^(kt) will increase exponentially and its reciprocal 1/(e^(kt)) will approach zero.
So, we have:
v(t) = C*(1-0)
v(t) = C*(1)
v(t) = C
Therefore, C is the terminal velocity.
Answer:
Yes, it would make it back up.
Explanation:
If it has 100,000 Joules of gravitational potential energy at the top of the hill, by the time the cart gets to the bottom, it will become PE = 0, KE = 90,000 since 10% of 100,000 is 10,000. The cart only requires 80,000J to climb back up so it should easily do so.
I didn't quite understand if the 10% energy loss is total, or every time it goes up or down, but it isn't a problem because 10% of 90,000 is 9,000, which means it would have 81,000J of energy on the way back up IF it loses energy due to friction on the way back up also.
The only physical law you need to prove this is the Law of Conservation of Energy: no energy is lost, only transformed; 10% of the energy becomes heat, the rest remains mechanical energy, which is the reason why the reasoning above works.
Answer:
velocity is 5 m/s
Explanation:
mass of astronaut (M)=100kg
mass of object (m)=10kg
Initially they are rest , so initial velocity (u)= 0 m/s
Final velocity of object ; 
let final velocity of astronaut = 
(Unknown)
Now , By conservation of linear momentum
Initial momentum = Final momentum
Now insert values
Further simplifying
So,
So, velocity is 5 m/s (the negative sign is due to direction)
Answer: When substances are chemically combined, the properties of the new substances that are formed are often different from the properties of the original substances.
Explanation:
