Answer:
49.3 N
Explanation:
Given that Pulling up on a rope, you lift a 4.25 kg bucket of water from a well with an acceleration of 1.80 m/s2 . What is the tension in the rope?
The weight of the bucket of water = mg.
Weight = 4.25 × 9.8
Weight = 41.65 N
The tension and the weight will be opposite in direction.
Total force = ma
T - mg = ma
Make tension T the subject of formula
T = ma + mg
T = m ( a + g )
Substitutes all the parameters into the formula
T = 4.25 ( 1.8 + 9.8 )
T = 4.25 ( 11.6 )
T = 49.3 N
Therefore, the tension in the rope is 49.3 N approximately.
Answer:
Explanation:
Radius of the charged sphere (R)=12cm
Charge (q)=6∗10^−6C
Electric field intensity (E)=?
i) On the surface

ii) Inside the sphere,
E=0; Because charge enclosed by Gaussian surface is zero.
iii) Outside the sphere at distance 15cm
i.e. r=12+15=27cm=0.27m

If the girl is also near the source of the sound, two alike sets of sounds will be heard.
<h3><u>Answer;</u></h3>
200 N
<h3><u>Solution;</u></h3>
Given ;
Weight = 400 N
Length of the ladder = 10 m
Using the equation;
Torque = d x F, where F is the perpendicular force and d is the distance
Calculating torque about the lower end,
Tweight = Twall
400N(5cos30) = F (10sin30)
F = 200 N
Therefore, the magnitude of force exerted on the peg by the ladder is 200 N