Answer:
a) 39.37 m
b) 26.25 m
Explanation:
Given
speed of the roller coaster, v = 100 km/h = 100 * (1000/3600) m/s = 27.78 m/s
Using the law of conservation of energy.
Potential Energy = Kinetic Energy
mgh = 1/2mv²
gh = 1/2v²
h = v²/2g
h = 27.78² / 2 * 9.8
h = 771.7284 / 19.6
h = 39.37 m
Also,
kmg - mg = mv²/p
kg - g = v²/p
p = v²/g(k - 1)
p = 27.78² / 9.8(4 - 1)
p = 771.7284 / 29.4
p = 26.25 m
Therefore, the height of the roller coaster is 39.37 m and the radius of curvature required is 26.25 m
Answer:
23.4 m/s
Explanation:
f = actual frequency of the wave = 6.2 x 10⁹ Hz
= frequency observed as the ball approach the radar
= frequency observed as the ball recede away from the radar
V = speed of light
= speed of ball
B = beat frequency = 969 Hz
frequency observed as the ball approach the radar is given as
eq-1
frequency observed as the ball recede the radar is given as
eq-2
Beat frequency is given as

Using eq-2 and eq-1

inserting the values

= 23.4 m/s
Answer: c) 1.31 × 10⁴N
Explanation:
Centripetal force is a force that causes a body to move in a circular path. The body possesses a centripetal acceleration.
According to newtons first law
Force = mass (m) ×acceleration (a)
Acceleration of a body moving in a circular path = v²/r where;
v is the velocity and r is the radius
Force = MV²/r
Given m = 250kg v = 96.5km/hr r = 13.7m
We need to convert 96.5km/hr to m/s
= 96.5km ×1000/1hr × 3600
= 96,500/3,600
v = 26.8m/s
Force = 250 × 26.8²/13.7
Force = 13,106.5N
The centripetal force = 13,106.5N
= 1.31 × 10⁴N
Answer:
Volume of secret cavity = 4 x 10⁻⁶m³
Explanation:
The weight of the sculpture in air is 15.76 N
Mass of the sculpture = 1.61 kg
Mass = Volume x Density
1.61 = V x 8470
Volume of brass =1.90 x 10⁻⁴ m³
When it is submerged in water, the weight is 13.86 N.
That is
Weight of sculpture - Weight of water displaced = 13.86 N
15.76 - Weight of water displaced = 13.86
Weight of water displaced = 1.9 N
Mass of water displaced = 0.194 kg
Mass = Volume x Density
0.194 = V x 1000
Volume of water displaced =1.94 x 10⁻⁴ m³
Volume of secret cavity = Volume of water displaced - Volume of brass material
Volume of secret cavity = 1.94 x 10⁻⁴-1.94 x 10⁻⁴ = 0.04x 10⁻⁴ = 4 x 10⁻⁶m³
Answer:
Transverse wave- Back and forth at right angles to the direction of the wave arrow.
longitudinal wave- bask and forth in the direction of the motion of the motion of the wave.
electromagnetic wave- two alternating waves moving at right angles to each other.
Explanation:
In a longitudinal wave, the particles vibrate at right angles in reference to the wave motion.
In a transverse wave, the particles vibrate parallel to the wave motion
Electromagnetic waves occur as a result of the interaction between two waves and are normally transverse in nature.