Answer :
The distance is 109.89 m.
Explanation :
Given that,
Height = 40 m
Angle = 20°
We need to calculate the base of the plateau
Using formula of angle
Where, h = height
x = base
= angle
Put the value into the formula
Hence, The distance is 109.89 m.
Based on the mass of the bob and the angle between the cord and the vertical, the pendulum length is 0.50m.
The maximum kinetic energy can be found to be 9.42 x 10⁻⁴J.
<h3>What is the pendulum length?</h3>
This can be found as:
= g-force / w²
Solving gives:
= 9.8 / 4.43²
= 0.4998 m
= 0.50 m
<h3>What is the maximum kinetic energy?</h3>
This can be found as:
= 0.5 × m × w² × A²
Maximum kinetic energy is:
= 0.5 × 60 × 10⁻³ × (4.43 × 0.4998 x 0.08 rad)²
= 9.42 x 10⁻⁴J
Find out more on maximum kinetic energy at brainly.com/question/24690095.
Answer:
a) 20 m/s
b) 37.5 m)s
Explanation:
Average speed = total distance ÷ total time
=> (a) average speed of a car that travels 400m in 20s
= 400/20 = 20 m/s
& (b) average speed of an athlete who runs 1500m in 4 minutes (or 4×60=240 seconds)
= 1500/240 = 37.5 m/s
Answer:
Explanation:
If the initial velocity is U
Then the horizontal component of the velocity is
Ux= Ucosθ
Then the range for a projectile is give as
R=Ux.t
Where t is the time of flight
The time of flight is given as
t=2USinθ/g
Therefore,
R=Ux.t
R=UCosθ.2USinθ/g
R=U^2×2SinθCosθ/g
Then, from trigonometric ratio
2SinθCosθ= Sin2θ
R=U^2Sin2θ/g
Given that θ=32° and g=9.81m/s^2
Then
R=U^2Sin2×32/9.81
R=U^2Sin64/9.81
R=0.0916U^2
Then, range is given by R=0.0916U^2
A=0.0916U^2.
T
The box is at a distance A from the point of projection. Then the range R=A
R=0.0916U^2
A=0.0916U^2
Then,
U^2=A/0.0916
U^2=10.915A
Then the initial velocity should be
U=√10.915A
U=3.3√A
