Question

calculating work and power maze
name
use your answers to guide you to the end of the maze.
how many joules
are needed to lift
a 3 n rock 8 m?
a
a 4 newton lamp
is lifted 2 meters.
how much work
was done?
b
how many minutes
is needed for a
60 w light bulb to
do 3,480 j of work?
c
how much work
is done if it takes
15 n to push a toy
along the floor a
distance of 3 m?
d
what is the power
of a microwave
that performs
10,000 j of work in
20 seconds?
what is the power
of a microwave
that performs
10,000 j of work in
20 seconds?
how many joules
of energy is needed
to run a 600 watt
power drill for
5 minutes?
how much force is
needed to pick up
a calculator 3 m,
if 1.5 joules of
energy is used?
g
how much work is
done when a 900 n
man spends 5
minutes pushing an
immovable wall?
h
a 2 n book took
34 j of work to be
placed on a shelf.
how many meters
did the book move?
e
if a 900 newton
tv is moved 3 m
in 60 seconds,
how much power
was used?
j
it took 1,500 j to
push a dead car 3 m
up a driveway. the
car was pushed with
how much energy?
k

Explanation:

Step1: Calculate work for Start (A)

Work formula \(W = F\times d\). Given \(F = 3N\), \(d = 8m\).
\(W=3\times8 = 24\) joules.

Step2: Calculate work for B

Given \(F = 4N\), \(d = 2m\).
\(W = 4\times2=8\) joules.

Step3: Calculate time for C

Power formula \(P=\frac{W}{t}\), rearranged \(t=\frac{W}{P}\). Given \(W = 840J\), \(P = 60W\).
\(t=\frac{840}{60}=14\) minutes.

Step4: Calculate work for D

Given \(F = 15N\), \(d = 3m\).
\(W=15\times3 = 45\) joules.

Step5: Calculate power for the microwave (first box below A)

Power formula \(P=\frac{W}{t}\). Given \(W = 10000J\), \(t = 20s\).
\(P=\frac{10000}{20}=500W\).

Step6: Calculate energy for the drill (box below B)

Energy (work) formula \(W=P\times t\). Given \(P = 600W\), \(t=5\times60s = 300s\).
\(W = 600\times300=180000J\).

Step7: Calculate force for G

Force formula \(F=\frac{W}{d}\). Given \(W = 1.5J\), \(d = 3m\).
\(F=\frac{1.5}{3}=0.5N\).

Step8: Calculate work for H

Since the wall is immovable (\(d = 0\)), using \(W = F\times d\).
\(W=900\times0 = 0\) joules.

Step9: Calculate distance for E

Distance formula \(d=\frac{W}{F}\). Given \(W = 34J\), \(F = 2N\).
\(d=\frac{34}{2}=17m\).

Step10: Calculate power for J

Power formula \(P=\frac{F\times d}{t}\). Given \(F = 900N\), \(d = 3m\), \(t = 60s\).
\(P=\frac{900\times3}{60}=45W\).

Step11: Calculate force for K

Force formula \(F=\frac{W}{d}\). Given \(W = 1500J\), \(d = 3m\).
\(F=\frac{1500}{3}=500N\).

Answer:

Start (A: 24) → B (8) → drill (180000) → G (0.5) → D (45) → H (0) → Finish.
Also, other paths: Start (A:24) → microwave (500) → E (17) → J (45) → K (500) → H (0) → Finish.