Given data
Step 1: Name the forces.
Weight points straight down: m g. The normal force acts perpendicular to the surface, and kinetic friction f opposes the motion up the slope.
math-science-homework
byRiley Musgrave
A app to help me and people on math science homework stuff like that
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Col 1–3: who this surface is for
Identity, in two modes.
Create account — enrollment
The student creates their own math-science-homework account. Enrollment is self-service: no invitation, provisioning, or administrator is involved.
Sign in — returning student
A returning student verifies their identity to resume their own homework help. The form on this surface checks the identity before any protected work continues.
Check before submitting
Both modes ask for the same two inputs — an email address and a password. Review each field label before submitting; a rejected value is reported beside the field that caused it.
Self-service only — no invitation or administrator approval.
Session
A verified identity carries into Homework Help, where the student's problems and their step-by-step explanations stay bound to that student and can be resumed on return.
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Enrollment mode. Create your own student account — no invitation and no administrator needed — then submit your first problem.
Col 1–3: the problem
A 2.5 kg block slides down a 30° incline, μ = 0.15. Find its acceleration.
- Mass, m
- 2.5kg
- Incline angle, θ
- 30°
- Coefficient of friction, μ
- 0.15
- Unknown
- a
Col 4–12: the method
Show methe steps.
math-science-homework · any studentMath · Science
col 4–12: the method
The method, step by step
Every solution is numbered.
A preview of how an explanation arrives: each step labelled, sequenced and checkable, so you can follow the method instead of copying an answer. Scroll the column to move the marker.
Algebra
Step 2: Resolve along the slope.
Only the components along the incline drive the motion: m g sin 30° down the slope, minus f up the slope. The perpendicular components balance.
Algebra
Step 3: Use the friction model.
On the incline the normal force equals m g cos 30°, so f = μ m g cos 30°. The mass cancels out of the equation.
Check this
Step 4: Solve for the unknown.
a = g (sin 30° − μ cos 30°). Substitute g = 9.8 m/s² to get a in metres per second squared. Check the signs and units before trusting the number.
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