Answer:
a) 
Explanation:
From the question we are told that:
Open cart of mass 
Speed of cart 
Mass of package 
Speed of package at end of chute 
Angle of inclination 
Distance of chute from bottom of cart 
a)
Generally the equation for work energy theory is mathematically given by
Therefore
Answer:
strong winds that blow for a long time over a great distance
weak winds that blow for short periods of time with a short fetch
Explanation:
When the winds are weak and blow for short periods, we experience the smallest ocean waves but when there are strong winds over a longer duration, the largest ocean waves are seen. Therefore, the conditions to produce the smallest and largest ocean waves are strong winds that blow for a long time over a great distance and weak winds that blow for short periods of time with a short fetch.
Answer:
9.36*10^11 m
Explanation
Orbital velocity v=√{(G*M)/R},
G = gravitational constant =6.67*10^-11 m³ kg⁻¹ s⁻²,
M = mass of the star
R =distance from the planet to the star.
v=ωR, with ω as the angular velocity and R the radius
ωR=√{(G*M)/R},
ω=2π/T,
T = orbital period of the planet
To get R we write the formula by making R the subject of the equation
(2π/T)*R=√{(G*M)/R}
{(2π/T)*R}²=[√{(G*M)/R}]²,
(4π²/T²)*R²=(G*M)/R,
(4π²/T²)*R³=G*M,
R³=(G*M*T²)/4π²,
R=∛{(G*M*T²)/4π²},
Substitute values
R=9.36*10^11 m
The difference in the force exerted by the ground during a race between these two species is 259.25
<h3>What is force?</h3>
Forces are influences that can change the movement of an object. A force can change the velocity of an object with mass, i.e. accelerate it. Forces can also be described intuitively by pushing or pulling. A force has both magnitude and direction and is a vector quantity.
Force exerted by the lion:
Normal force = mg
170 = m × 9.8
m = 17.34 kg
Forward force = ma
= 17.34 × 10.0
= 173.4 N
Total force = Normal force + Forward force
Total force = 170 + 173.4
= 343.4 N
Force exerted by the man:
Normal force = mg
75 = m × 9.8
m = 7.65 kg
Forward force = ma
= 7.65 × 10.0
= 76.5 N
Total force = Normal force + Forward force
Total force = 7.65 + 76.5
= 84.15 N
The difference in the forces exerted by these species is:
343.4 N - 76.5 N = 259.25 N
To know more about force visit:
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<span>ΔT for the first sample is the total samples final temp, minus the first sample's initial temp (47.9-22.5), so 25.4oC.
Calculating q for the first sample as 108g x 4.18 J/g C x 25.4oC = 11466.58 Joules
Figuring that since the first sample gained heat, the second sample must have provided the heat, so doing the calculation for the second sample, I used
q=mCΔT
11466.58 Joules = 65.1g x 4.18 J / g C x ΔT
11466.58/(65.1gx4.18)=ΔT
ΔT=42.14oC
So, since second sample lost heat, it's initial temperature was 90.04oC (47.9oC final temperature of mixture + 42.14oC ΔT of second sample).</span>
