Answer:
Acceleration, 
Explanation:
Given that,
Mass of Suzie, m = 76 kg
Initial speed of Suzie, u = 50 mph = 22.35 m/s
Finally, it stops, v = 0
Time, t = 1.2 s
Let a is the Suzie’s average acceleration. It is equal to the rate of change of velocity. Its formula is given by :



So, the average acceleration of Suzie’s is
and she is decelerating. Hence, this is the required solution.
Answer:
The acceleration due to gravity of that planet is, gₐ = 1.25 m/s²
Explanation:
Given that,
Mass of the planet, m = 1/2M
Radius of the planet, r = 2R
Where M and R is the mass and radius of the Earth respectively.
The acceleration due to gravity of Earth, g = 10 m/s²
The acceleration due to gravity of Earth is given by the relation,
g = GM/R²
Similarly, the acceleration due to gravity of that planet is
gₐ = Gm/r²
where G is the Universal gravitational constant
On substituting the values in the above equation
gₐ = G (1/2 M)/4 R²
= GM/8R²
= 1/8 ( 10 m/s²)
= 1.25 m/s²
Hence, the acceleration due to gravity of that planet is, gₐ = 1.25 m/s²
Answer:
a)
840 N
b)
10920 J
c)
- 10192 J
d)
4.3 m/s
Explanation:
a)
T = tension force in the cable in upward direction = ?
a = acceleration of the person in upward direction = 0.70 m/s²
m = mass of the person being lifted = 80 kg
Force equation for the motion of person in upward direction is given as
T - mg = ma
T = m (g + a)
T = (80) (9.8 + 0.70)
T = 840 N
b)
d = distance traveled in upward direction = 13 m
= Work done by tension force
Work done by tension force is given as
= T d
= (840) (13)
= 10920 J
c)
d = distance traveled in upward direction = 13 m
= Work done by person's weight
Work done by person's weight is given as
= - mg d
= - (80 x 9.8) (13)
= - 10192 J
d)
= Net force on the person = ma = 80 x 0.70 = 56 N
v₀ = initial speed of the person = 0 m/s
v = final speed
Using work-energy theorem
d = (0.5) m (v² - v₀²)
(56) (13) = (0.5) (80) (v² - 0²)
v = 4.3 m/s
Answer:
Average velocity = 1.69 m/s
Average speed = 5.09 m/s
Explanation:
Given that
Horse cover 37 m in 9.1 sec and 18.5 m in 1.8 sec.
As we know that
Average velocity = Displacement / Total time
Average speed = Total distance / Total time
Average velocity:
Average velocity = Displacement / Total time
Total displacement = 37 - 18.5 = 18.5 m
Total time = 9.1 + 1.8 =10.9 s
Average velocity = Displacement / Total time
Average velocity = 18.5 / 10.9
Average velocity = 1.69 m/s
Average speed:
Average speed = Total distance/ Total time
Total distance = 37 + 18.5 = 55.5 m
Total time = 9.1 + 1.8 =10.9 s
Average speed = Total distance/ Total time
Average speed = 55.5 / 10.9
Average speed = 5.09 m/s